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On the recursive sequence $$x_{n+1}=(\alpha x_n+\beta x_{n-1})/(A+x_n)$$. (English) Zbl 0966.39003
The authors investigate the boundedness, global stability and periodicity of the solutions to the recursive sequence announced in the title, where $$n= 0,1,\dots$$ and $$\alpha$$, $$\beta$$, and $$A$$ as well as the initial conditions $$x_0$$ and $$x_{-1}$$ are nonnegative.

##### MSC:
 39A11 Stability of difference equations (MSC2000)
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